Minimal Order Generalized State Space Representation of Singular Systems

Document Type

Conference Proceeding

Publication Date

1989

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Abstract

In this paper, we consider the problem of obtaining minimal order generalized state space representations of systems described by equations of the form Ex(t) = Ax(t) + Bu(t), y(t) = Cx(t) + Du(t) with E singular and det(sE - A)≠0. The underlying principle is that of removal of impulsive and exponential uncontrollable and unobservable modes. Based on this principle, a simple reduction procedure and a numerical algorithm are developed and illustrated by means of an example.

DOI

10.23919/acc.1989.4790542

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